Select all the sets of ordered pairs that the graph of the equation y - 1 = - 2 (x - 2) contains.

A. (0, - 2) and (1, 3)

B. (0, 5) and (-2, 9)

C. (-1, 7) and (2, 1)

D. (3, - 1) and (2, - 1)

E. (1, 2) and (4, 3)

The sets of ordered pairs that the graph of the equation y - 1 = - 2 (x - 2) contains:

(0, 5) and (-2, 9) (-1, 7) and (2, 1)

Answer: Option B and C

Step-by-step explanation:

Given that the equation of line is y - 1 = - 2 (x - 2). Now after solving the above equation, we can write the above equation as

y = - 2 x + 5

Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

A. (0, - 2) and (1, 3)

-2 = - 2 (0) + 5 which gives - 2 = 5

3 = - 2 (1) + 5 which gives 3=3 and denotes not contain the set of ordered pairs

B. (0, 5) and (-2, 9)

5 = - 2 (0) + 5 which gives 5=5

9 = - 2 (-2) + 5 which gives 9=9 and denotes the set of ordered pairs

C. (-1, 7) and (2, 1)

7 = - 2 (-1) + 5 which gives 7=7

1 = - 2 (2) + 5 which gives 1=1 and denotes the set of ordered pairs

D. (3, - 1) and (2, - 1)

-1 = - 2 (3) + 5 which gives - 1 = - 1

-1 = - 2 (2) + 5 which gives - 1 = 1 and denotes not contain the set of ordered pairs

E. (1, 2) and (4, 3)

2 = - 2 (1) + 5 which gives 2 = 3

3 = - 2 (4) + 5 which gives 3 = - 3 and denotes not contain the set of ordered pairs

Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.